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<div class="subTitle">org.apache.commons.math3.distribution.fitting</div>
<h2 title="Class MultivariateNormalMixtureExpectationMaximization" class="title">Class MultivariateNormalMixtureExpectationMaximization</h2>
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<pre>public class <span class="strong">MultivariateNormalMixtureExpectationMaximization</span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
<div class="block">Expectation-Maximization</a> algorithm for fitting the parameters of
 multivariate normal mixture model distributions.

 This implementation is pure original code based on <a
 href="https://www.ee.washington.edu/techsite/papers/documents/UWEETR-2010-0002.pdf">
 EM Demystified: An Expectation-Maximization Tutorial</a> by Yihua Chen and Maya R. Gupta,
 Department of Electrical Engineering, University of Washington, Seattle, WA 98195.
 It was verified using external tools like <a
 href="http://cran.r-project.org/web/packages/mixtools/index.html">CRAN Mixtools</a>
 (see the JUnit test cases) but it is <strong>not</strong> based on Mixtools code at all.
 The discussion of the origin of this class can be seen in the comments of the <a
 href="https://issues.apache.org/jira/browse/MATH-817">MATH-817</a> JIRA issue.</div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.2</dd></dl>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#MultivariateNormalMixtureExpectationMaximization(double[][])">MultivariateNormalMixtureExpectationMaximization</a></strong>(double[][]&nbsp;data)</code>
<div class="block">Creates an object to fit a multivariate normal mixture model to data.</div>
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<td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#estimate(double[][],%20int)">estimate</a></strong>(double[][]&nbsp;data,
        int&nbsp;numComponents)</code>
<div class="block">Helper method to create a multivariate normal mixture model which can be
 used to initialize <a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution)"><code>fit(MixtureMultivariateNormalDistribution)</code></a>.</div>
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<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution)">fit</a></strong>(<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;initialMixture)</code>
<div class="block">Fit a mixture model to the data supplied to the constructor.</div>
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<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution,%20int,%20double)">fit</a></strong>(<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;initialMixture,
   int&nbsp;maxIterations,
   double&nbsp;threshold)</code>
<div class="block">Fit a mixture model to the data supplied to the constructor.</div>
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<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#getFittedModel()">getFittedModel</a></strong>()</code>
<div class="block">Gets the fitted model.</div>
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<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#getLogLikelihood()">getLogLikelihood</a></strong>()</code>
<div class="block">Gets the log likelihood of the data under the fitted model.</div>
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<h4>MultivariateNormalMixtureExpectationMaximization</h4>
<pre>public&nbsp;MultivariateNormalMixtureExpectationMaximization(double[][]&nbsp;data)
                                                 throws <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                                                        <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                                        <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre>
<div class="block">Creates an object to fit a multivariate normal mixture model to data.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>data</code> - Data to use in fitting procedure</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if data has no rows</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if rows of data have different numbers
             of columns</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if the number of columns in the data is
             less than 2</dd></dl>
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<h3>Method Detail</h3>
<a name="fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution, int, double)">
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<h4>fit</h4>
<pre>public&nbsp;void&nbsp;fit(<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;initialMixture,
       int&nbsp;maxIterations,
       double&nbsp;threshold)
         throws <a href="../../../../../../org/apache/commons/math3/linear/SingularMatrixException.html" title="class in org.apache.commons.math3.linear">SingularMatrixException</a>,
                <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
<div class="block">Fit a mixture model to the data supplied to the constructor.

 The quality of the fit depends on the concavity of the data provided to
 the constructor and the initial mixture provided to this function. If the
 data has many local optima, multiple runs of the fitting function with
 different initial mixtures may be required to find the optimal solution.
 If a SingularMatrixException is encountered, it is possible that another
 initialization would work.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>initialMixture</code> - Model containing initial values of weights and
            multivariate normals</dd><dd><code>maxIterations</code> - Maximum iterations allowed for fit</dd><dd><code>threshold</code> - Convergence threshold computed as difference in
             logLikelihoods between successive iterations</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/linear/SingularMatrixException.html" title="class in org.apache.commons.math3.linear">SingularMatrixException</a></code> - if any component's covariance matrix is
             singular during fitting</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if numComponents is less than one
             or threshold is less than Double.MIN_VALUE</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if initialMixture mean vector and data
             number of columns are not equal</dd></dl>
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<h4>fit</h4>
<pre>public&nbsp;void&nbsp;fit(<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;initialMixture)
         throws <a href="../../../../../../org/apache/commons/math3/linear/SingularMatrixException.html" title="class in org.apache.commons.math3.linear">SingularMatrixException</a>,
                <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></pre>
<div class="block">Fit a mixture model to the data supplied to the constructor.

 The quality of the fit depends on the concavity of the data provided to
 the constructor and the initial mixture provided to this function. If the
 data has many local optima, multiple runs of the fitting function with
 different initial mixtures may be required to find the optimal solution.
 If a SingularMatrixException is encountered, it is possible that another
 initialization would work.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>initialMixture</code> - Model containing initial values of weights and
            multivariate normals</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/linear/SingularMatrixException.html" title="class in org.apache.commons.math3.linear">SingularMatrixException</a></code> - if any component's covariance matrix is
             singular during fitting</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if numComponents is less than one or
             threshold is less than Double.MIN_VALUE</dd></dl>
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<h4>estimate</h4>
<pre>public static&nbsp;<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;estimate(double[][]&nbsp;data,
                                             int&nbsp;numComponents)
                                                      throws <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                                                             <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
<div class="block">Helper method to create a multivariate normal mixture model which can be
 used to initialize <a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution)"><code>fit(MixtureMultivariateNormalDistribution)</code></a>.

 This method uses the data supplied to the constructor to try to determine
 a good mixture model at which to start the fit, but it is not guaranteed
 to supply a model which will find the optimal solution or even converge.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>data</code> - Data to estimate distribution</dd><dd><code>numComponents</code> - Number of components for estimated mixture</dd>
<dt><span class="strong">Returns:</span></dt><dd>Multivariate normal mixture model estimated from the data</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if <code>numComponents</code> is greater
 than the number of data rows.</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if <code>numComponents &lt; 2</code>.</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if data has less than 2 rows</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if rows of data have different numbers
             of columns</dd></dl>
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<h4>getLogLikelihood</h4>
<pre>public&nbsp;double&nbsp;getLogLikelihood()</pre>
<div class="block">Gets the log likelihood of the data under the fitted model.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>Log likelihood of data or zero of no data has been fit</dd></dl>
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<h4>getFittedModel</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;getFittedModel()</pre>
<div class="block">Gets the fitted model.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>fitted model or <code>null</code> if no fit has been performed yet.</dd></dl>
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